GCD of 113, 774, 978, 724 Calculator

Given Input numbers are 113, 774, 978, 724

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 113, 774, 978, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 774, 978, 724 is 1.

Therefore, GCD of numbers 113, 774, 978, 724 is 1

Given Input Data is 113, 774, 978, 724

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 113 is 113

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 724 is 2 x 2 x 181

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(113, 774) = 87462

GCD(113, 774) = ( 113 x 774 ) / 87462

GCD(113, 774) = 87462 / 87462

GCD(113, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 113, 774, 978, 724 is 1

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1. What is the GCD of 113, 774, 978, 724?

GCD of 113, 774, 978, 724 is 1

2. Where do I get the detailed procedure to find GCD of 113, 774, 978, 724?

You can find a detailed procedure to find GCD of 113, 774, 978, 724 on our page.

3. How to find GCD of 113, 774, 978, 724 on a calculator?

You can find the GCD of 113, 774, 978, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.